Factors and Multiples Worksheets - Math Monks - Free Printable

Let's solve each problem step by step and explain the reasoning.

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1) Write the first 2 multiples of:

Multiples are the products of a number and any whole number (starting from 1).

- a) 5:
First multiple: $5 \times 1 = 5$
Second multiple: $5 \times 2 = 10$
✔ Answer: 5, 10

- b) 12:
$12 \times 1 = 12$, $12 \times 2 = 24$
✔ Answer: 12, 24

- c) 4:
$4 \times 1 = 4$, $4 \times 2 = 8$
✔ Answer: 4, 8

- d) 18:
$18 \times 1 = 18$, $18 \times 2 = 36$
✔ Answer: 18, 36

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2) Circle the numbers that are multiples of 7.

We check which numbers are divisible by 7:

- 7 → $7 \div 7 = 1$ → ✔ Multiple
- 21 → $21 \div 7 = 3$ → ✔ Multiple
- 27 → $27 \div 7 \approx 3.857$ → ✘ Not a multiple
- 28 → $28 \div 7 = 4$ → ✔ Multiple
- 35 → $35 \div 7 = 5$ → ✔ Multiple
- 49 → $49 \div 7 = 7$ → ✔ Multiple

✔ Circle: 7, 21, 28, 35, 49

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3) Circle the numbers that are factors of 20.

A factor divides the number evenly (no remainder).

Check each:
- 1 → $20 \div 1 = 20$ → ✔
- 2 → $20 \div 2 = 10$ → ✔
- 4 → $20 \div 4 = 5$ → ✔
- 10 → $20 \div 10 = 2$ → ✔
- 12 → $20 \div 12 \approx 1.67$ → ✘
- 15 → $20 \div 15 \approx 1.33$ → ✘
- 20 → $20 \div 20 = 1$ → ✔

✔ Circle: 1, 2, 4, 10, 20

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4) Circle the factors of 32.

Check which numbers divide 32 evenly:

- 1 → $32 \div 1 = 32$ → ✔
- 2 → $32 \div 2 = 16$ → ✔
- 4 → $32 \div 4 = 8$ → ✔
- 8 → $32 \div 8 = 4$ → ✔
- 10 → $32 \div 10 = 3.2$ → ✘
- 12 → $32 \div 12 \approx 2.67$ → ✘
- 14 → $32 \div 14 \approx 2.29$ → ✘
- 16 → $32 \div 16 = 2$ → ✔

✔ Circle: 1, 2, 4, 8, 16

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5) I am a multiple of 13. I am also an even number less than 50. Who am I?

List multiples of 13:
- $13 \times 1 = 13$ → odd
- $13 \times 2 = 26$ → even ✔
- $13 \times 3 = 39$ → odd
- $13 \times 4 = 52$ → greater than 50 → ✘

Only 26 is a multiple of 13, even, and less than 50.

✔ Answer: 26

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6) List down all the factors of the given numbers.

#### a) 16

Find all numbers that divide 16 evenly:
- $1 \times 16 = 16$
- $2 \times 8 = 16$
- $4 \times 4 = 16$

So factors: 1, 2, 4, 8, 16

✔ Answer: 1, 2, 4, 8, 16

#### b) 42

Find all pairs:
- $1 \times 42 = 42$
- $2 \times 21 = 42$
- $3 \times 14 = 42$
- $6 \times 7 = 42$

So factors: 1, 2, 3, 6, 7, 14, 21, 42

✔ Answer: 1, 2, 3, 6, 7, 14, 21, 42

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✔ Final Answers Summary:

1)
a) 5, 10
b) 12, 24
c) 4, 8
d) 18, 36

2) Circle: 7, 21, 28, 35, 49

3) Circle: 1, 2, 4, 10, 20

4) Circle: 1, 2, 4, 8, 16

5) 26

6)
a) 1, 2, 4, 8, 16
b) 1, 2, 3, 6, 7, 14, 21, 42

Let me know if you'd like this formatted as a printable answer sheet!